Abstract:
In this paper, we took filter of lattice implication algebra as the measure of reliability for premises and inference rule and applied it to uncertainty reasoning. Firstly, we analyzed the properties of filter and pointed out that it can be regarded as a semantical model of hypothetical syllogism. Secondly, we discussed the closeness of inference rule with respect to value of reliability and shown some inference rules which closed with respect to filter. Then we studied the feature of reliability changing dynamically in a running reasoning through the paradox of bald man. Finally, we presented an uncertainty reasoning method based on filter.
